Details

Time bar (total: 3.2s)

analyze704.0ms (21.9%)

Algorithm
search
Search
TrueOtherFalseIter
0%99.8%0.2%0
0%99.8%0.2%1
0%99.8%0.2%2
0%99.8%0.2%3
0%99.8%0.2%4
0%99.8%0.2%5
0%99.8%0.2%6
0%99.8%0.2%7
0%99.8%0.2%8
6.2%93.6%0.2%9
12.5%87.3%0.2%10
25%74.9%0.2%11
31.2%63.9%4.9%12
39%50.9%10.1%13
44.8%44.4%10.7%14
Compiler

Compiled 8 to 8 computations (0% saved)

sample35.0ms (1.1%)

Algorithm
intervals
Results
11.0ms256×body128valid
3.0ms56×body128invalid
Compiler

Compiled 15 to 19 computations (-26.7% saved)

simplify125.0ms (3.9%)

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (3.0ms)

IterNodesCost
01314
11314

prune2.0ms (0.1%)

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022
Error
0.0b
Counts
2 → 1
Compiler

Compiled 14 to 14 computations (0% saved)

localize5.0ms (0.2%)

Local error

Found 1 expressions with local error:

0.0b
(+.f64 (*.f64 x.re y.im) (*.f64 x.im y.re))

rewrite12.0ms (0.4%)

Algorithm
rewrite-expression-head
Error
0.0b
Rules
add-log-exp_binary64_1140
sum-log_binary64_1192 pow1_binary64_1162 add-exp-log_binary64_1139 add-cbrt-cube_binary64_1137 add-cube-cbrt_binary64_1136 add-sqr-sqrt_binary64_1123 flip3-+_binary64_1104 *-un-lft-identity_binary64_1101 flip-+_binary64_1075 +-commutative_binary64_1031
Counts
1 → 11
Calls

1 calls:

4.0ms
(+.f64 (*.f64 x.re y.im) (*.f64 x.im y.re))
Compiler

Compiled 178 to 42 computations (76.4% saved)

series191.0ms (6%)

Error
0.0b
Counts
1 → 24
Calls

1 calls:

172.0ms
(+.f64 (*.f64 x.re y.im) (*.f64 x.im y.re))
Compiler

Compiled 324 to 235 computations (27.5% saved)

simplify110.0ms (3.4%)

Algorithm
egg-herbie
Counts
35 → 35
Iterations

Useful iterations: 0 (100.0ms)

IterNodesCost
04833489
14833489

prune20.0ms (0.6%)

Pruning

2 alts after pruning (1 fresh and 1 done)

PrunedKeptTotal
New34135
Fresh000
Picked011
Done000
Total34236
Error
0.0b
Counts
36 → 2
Compiler

Compiled 296 to 51 computations (82.8% saved)

localize8.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.0b
(+.f64 (*.f64 y.re x.im) (*.f64 y.im x.re))
0.2b
(*.f64 (sqrt.f64 (+.f64 (*.f64 y.re x.im) (*.f64 y.im x.re))) (sqrt.f64 (+.f64 (*.f64 y.re x.im) (*.f64 y.im x.re))))
1.3b
(sqrt.f64 (+.f64 (*.f64 y.re x.im) (*.f64 y.im x.re)))
1.3b
(sqrt.f64 (+.f64 (*.f64 y.re x.im) (*.f64 y.im x.re)))

rewrite124.0ms (3.9%)

Algorithm
rewrite-expression-head
Error
0.0b
Rules
30×add-sqr-sqrt_binary64_1123
24×sqrt-prod_binary64_1117
21×pow1_binary64_1162
16×sqrt-div_binary64_1118
14×add-cube-cbrt_binary64_1136 *-un-lft-identity_binary64_1101
10×pow1/2_binary64_1181 sqrt-pow1_binary64_1119
flip3-+_binary64_1104 flip-+_binary64_1075
swap-sqr_binary64_1068
add-log-exp_binary64_1140 add-exp-log_binary64_1139 add-cbrt-cube_binary64_1137 associate-*l*_binary64_1042 associate-*r*_binary64_1041
pow-prod-up_binary64_1171
rem-sqrt-square_binary64_1114 frac-times_binary64_1111 unswap-sqr_binary64_1069
pow-prod-down_binary64_1172 pow-sqr_binary64_1074
associate-*l/_binary64_1044 associate-*r/_binary64_1043
pow2_binary64_1182 pow-plus_binary64_1164 prod-exp_binary64_1150 cbrt-unprod_binary64_1134 sqrt-unprod_binary64_1121 sqr-abs_binary64_1116 rem-square-sqrt_binary64_1113 *-commutative_binary64_1032 sum-log_binary64_1192 +-commutative_binary64_1031
Counts
4 → 99
Calls

4 calls:

20.0ms
(*.f64 (sqrt.f64 (+.f64 (*.f64 y.re x.im) (*.f64 y.im x.re))) (sqrt.f64 (+.f64 (*.f64 y.re x.im) (*.f64 y.im x.re))))
7.0ms
(sqrt.f64 (+.f64 (*.f64 y.re x.im) (*.f64 y.im x.re)))
7.0ms
(sqrt.f64 (+.f64 (*.f64 y.re x.im) (*.f64 y.im x.re)))
4.0ms
(+.f64 (*.f64 y.re x.im) (*.f64 y.im x.re))
Compiler

Compiled 2841 to 323 computations (88.6% saved)

series670.0ms (20.8%)

Error
0.0b
Counts
4 → 80
Calls

4 calls:

201.0ms
(*.f64 (sqrt.f64 (+.f64 (*.f64 y.re x.im) (*.f64 y.im x.re))) (sqrt.f64 (+.f64 (*.f64 y.re x.im) (*.f64 y.im x.re))))
193.0ms
(+.f64 (*.f64 y.re x.im) (*.f64 y.im x.re))
118.0ms
(sqrt.f64 (+.f64 (*.f64 y.re x.im) (*.f64 y.im x.re)))
118.0ms
(sqrt.f64 (+.f64 (*.f64 y.re x.im) (*.f64 y.im x.re)))
Compiler

Compiled 3112 to 1668 computations (46.4% saved)

simplify120.0ms (3.7%)

Algorithm
egg-herbie
Counts
179 → 179
Iterations

Useful iterations: 0 (84.0ms)

IterNodesCost
049173141
149173141

prune117.0ms (3.6%)

Pruning

2 alts after pruning (0 fresh and 2 done)

PrunedKeptTotal
New1790179
Fresh000
Picked011
Done011
Total1792181
Error
0.0b
Counts
181 → 2
Compiler

Compiled 3042 to 366 computations (88% saved)

regimes103.0ms (3.2%)

Accuracy

Total 0.0b remaining (16.7%)

Threshold costs 0.0b (16.7%)

Compiler

Compiled 433 to 381 computations (12% saved)

bsearch0.0ms (0%)

simplify3.0ms (0.1%)

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
01314
11314

end0.0ms (0%)

sample866.0ms (26.9%)

Algorithm
intervals
Results
258.0ms8000×body128valid
39.0ms1342×body128invalid
Compiler

Compiled 72 to 64 computations (11.1% saved)

Profiling

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